I have cajun dry rub that I use to cook chicken in the oven with and it tastes great; however I was thinking to myself that it might taste great as a sauce on chicken wings e.g. like you have on buffalo wings.
You could also go fresh with it, using the fresh ingredient instead of the dried. Chop the onion, red peppers, chili peppers, celery, fresh herbs and such Sweat it down in some butter or maybe bacon fat. A little wine, chicken stock. Reduce it some more. Puree, adjust thickness as needed.
Although making a fresh made sauce is a good idea, I doubt that you could replicate the flavor profile that you are getting with dried ingredients/dry rub. The process of drying, and in some cases roasting or smoking spices fundamentally changes the flavors by either removing certain elements or by introducing new elements such as smoke. Not saying it's impossible, but I think it would be difficult and I believe would take me many tries and experiments to get close.